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Finding the Fourth Proportional to 5,879.28, 8,113.65 and 3,520.98

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Solution

The fourth proportional to 5,879.28, 8,113.65 and 3,520.98 is: 4,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.28 : 8,113.65 = 3,520.98 : x
  2. Step 2: Convert to fraction form
    5,879.28/8,113.65 = 3,520.98/x
  3. Step 3: Cross multiply
    5,879.28x = 8,113.65 × 3,520.98
  4. Step 4: Simplify right side
    5,879.28x = 28,567,999.38
  5. Step 5: Solve for x
    x = 28,567,999.38/5,879.28
  6. Step 6: Final answer
    x = 4,859.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.